The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  1  1  1  1  1  1 12  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  2  0  2
 0  2  0  2  0  0  2  2  4  6  4  6 12 14 12 14 12 14 12  6  8 10  8  2 14  2  4  6  8 10 10 12  8  2  4 14  0 10  0 10  8  0  6 14 12  2 12  6  2  8  2 12  8 14
 0  0  2  2 12  6 14  4  4  6 10  8 14 10  8 12 12 14  2  4  8 10 14 10  8 12  0  2  4  6  8  6  2 10 14  0 10 12  8 14  6  4 14  4  4  6 10 12 10 12 12 10  2  4

generates a code of length 54 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+248x^52+128x^53+336x^54+128x^55+130x^56+32x^58+20x^60+1x^96

The gray image is a code over GF(2) with n=432, k=10 and d=208.
This code was found by Heurico 1.16 in 0.304 seconds.